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Simplifying 5 + -1(x + -3) = 4x + -1(3x + -8) Reorder the terms: 5 + -1(-3 + x) = 4x + -1(3x + -8) 5 + (-3 * -1 + x * -1) = 4x + -1(3x + -8) 5 + (3 + -1x) = 4x + -1(3x + -8) Combine like terms: 5 + 3 = 8 8 + -1x = 4x + -1(3x + -8) Reorder the terms: 8 + -1x = 4x + -1(-8 + 3x) 8 + -1x = 4x + (-8 * -1 + 3x * -1) 8 + -1x = 4x + (8 + -3x) Reorder the terms: 8 + -1x = 8 + 4x + -3x Combine like terms: 4x + -3x = 1x 8 + -1x = 8 + 1x Add '-8' to each side of the equation. 8 + -8 + -1x = 8 + -8 + 1x Combine like terms: 8 + -8 = 0 0 + -1x = 8 + -8 + 1x -1x = 8 + -8 + 1x Combine like terms: 8 + -8 = 0 -1x = 0 + 1x -1x = 1x Solving -1x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1x + -1x = 1x + -1x Combine like terms: -1x + -1x = -2x -2x = 1x + -1x Combine like terms: 1x + -1x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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